This is an official version of the international Final Fantasy XIII-2 trailer that was shown at E3. You can tell it's the international version not because of the French subtitles, but because the theme song in the backdrop is in English, sung by Charice. This theme song will also be included in the Japanese Xbox 360 version of the game.

For an inverted look at the Japanese TGS trailer, which has the Japanese PS3 version's theme song and a different set of scenes, see this story.